Egypt · Grade 6 · Practice Sheet 33

1. 1.

   Find the mean (average) of these numbers: 75, 15, 63, 89, 17.

   Formula:Arithmetic Mean

   $\bar{x} = \dfrac{\sum x}{n}$

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2. 2.

   Find the area of a square with side length 17 cm.

   Formula:Area of a Square

   $A = s^2$

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3. 3.

   E£ 2,900 is invested at 5% simple interest per year for 6 years. Find the interest earned.

   Formula:Simple Interest

   $I = \dfrac{P \times r \times t}{100}$

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4. 4.

   Find the area of a square with side length 12 cm.

   Formula:Area of a Square

   $A = s^2$

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5. 5.

   Convert 6.13 kilometres into metres.

   Formula:Metric Length Conversion

   $1\,\text{km} = 1000\,\text{m}$

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6. 6.

   One item costs E£ 15.68. Find the total cost of 3 items.

   Formula:Total Cost

   $\text{total} = \text{price} \times \text{quantity}$

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7. 7.

   Calculate 25 × 11.

   Formula:Multiplication

   $p = a \times b$

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8. 8.

   Calculate 88 ÷ 11.

   Formula:Division

   $q = \dfrac{a}{b}$

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9. 9.

   Find the mean (average) of these numbers: 16, 76, 50, 70, 96.

   Formula:Arithmetic Mean

   $\bar{x} = \dfrac{\sum x}{n}$

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10. 10.

    What is 75% of 430?

    Formula:Percentage of a Quantity

    $\text{result} = \dfrac{p}{100} \times N$

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11. 11.

    A triangle has a base of 32 cm and a height of 9 cm. Find its area.

    Formula:Area of a Triangle

    $A = \tfrac{1}{2} b h$

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12. 12.

    A circle has a radius of 23 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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13. 13.

    Calculate 65 × 4.

    Formula:Multiplication

    $p = a \times b$

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14. 14.

    Find the area of a square with side length 30 cm.

    Formula:Area of a Square

    $A = s^2$

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15. 15.

    An item costs E£ 32.43 and you pay with E£ 40. How much change do you get?

    Formula:Change Due

    $\text{change} = \text{paid} - \text{cost}$

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16. 16.

    Find the mean (average) of these numbers: 94, 39, 92, 36, 74, 42.

    Formula:Arithmetic Mean

    $\bar{x} = \dfrac{\sum x}{n}$

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17. 17.

    One item costs E£ 1.78. Find the total cost of 6 items.

    Formula:Total Cost

    $\text{total} = \text{price} \times \text{quantity}$

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18. 18.

    Find the mean (average) of these numbers: 29, 37, 24, 93, 32, 65.

    Formula:Arithmetic Mean

    $\bar{x} = \dfrac{\sum x}{n}$

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19. 19.

    A circle has a radius of 17 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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20. 20.

    E£ 1,200 is invested at 7.5% simple interest per year for 3 years. Find the interest earned.

    Formula:Simple Interest

    $I = \dfrac{P \times r \times t}{100}$

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